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It is defined as a line segment

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Q: The distance of a line bound by two points is defined as?

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A best-fit line is the straight line which most accurately represents a set of data/points. It is defined as the line that is the smallest average distance from the data/points. Refer to the related links for an illustration of a best fit line.

If it has defined end points then it is a line segment.

In terms of Euclidian geometry, no lines have end points. A line segment has end points, as it is a section of a defined line of points.

It is simply called the distance between the two points - simple as that. How that distance is measured will depend on the nature of the surface on which the two points are located as well as on the metric for measuring distance that is defined on that space.The common metric in Euclidean space is the Pythagorean distance while on the surface of a sphere (like the Earth, for example), distances are measured along the great arc.

No, because the second line is not defined.

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It is defined as a line segment

In three dimensions, the solid defined as being bound by the set of points at a given distance form a point is a sphere. In two dimensions, the figure defined as being bound by the set of points at a given distance from a point is a circle. In one dimension, a line segment is bound by the two points at a given distance from a point.

Yes, because the distance is a metric which is defined in that way.

Yes, because the distance is a metric which is defined in that way.

A best-fit line is the straight line which most accurately represents a set of data/points. It is defined as the line that is the smallest average distance from the data/points. Refer to the related links for an illustration of a best fit line.

If it has defined end points then it is a line segment.

In terms of Euclidian geometry, no lines have end points. A line segment has end points, as it is a section of a defined line of points.

An area can not be defined unless there are at minimum 3 distinct points defined. What you have with two points is a line, or line segment, which are of 1 dimension.

{| |- | A line is defined by naming at least two points. It contains an infinite number of points, but two have to be identified. A line can also be defined by a single point and a direction. |}

It is simply called the distance between the two points - simple as that. How that distance is measured will depend on the nature of the surface on which the two points are located as well as on the metric for measuring distance that is defined on that space.The common metric in Euclidean space is the Pythagorean distance while on the surface of a sphere (like the Earth, for example), distances are measured along the great arc.

No, because the second line is not defined.

A geometrical straight line is infinite but if it has defined end points then it is a line segment.